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Numerical Solution of Multi-Asset Option Pricing Problems Using an Improved RBF-DQ Method


Paper Type 
Contributed Paper
Title 
Numerical Solution of Multi-Asset Option Pricing Problems Using an Improved RBF-DQ Method
Author 
Leila Khodayari and M. Ranjbar
Email 
leila.khodayari@azaruniv.edu; m_ranjbar@azaruniv.edu
Abstract:
In this paper, a modification of the original global radial basis functions-based differential quadrature (RBF-DQ) method is set forth and analyzed. The improved RBF-DQ method is applicable to the numerical approximation of solutions of a wide range of partial differential equations (PDEs) with mixed derivative terms.  However, it appears to be considerably faster than the original method. In support of this contention, the multi-dimensional Black-Scholes (BS) equation in the Geometric Brownian Motion (GBM) framework has been solved numerically by using the proposed method and compared with results obtained via the original RBF-DQ method.  For accuracy achieved versus work expended, the improved method performs better.

Start & End Page 
1735 - 1743
Received Date 
2015-01-04
Revised Date 
Accepted Date 
2016-02-03
Full Text 
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Keyword 
radial basis functions, multi-dimensional Black-Scholes equation, differential quadrature, European option
Volume 
Vol.44 No.4 (October 2017)
DOI 
Citation 
Khodayari L. and Ranjbar M., Numerical Solution of Multi-Asset Option Pricing Problems Using an Improved RBF-DQ Method, Chiang Mai Journal of Science, 2017; 44(4): 1735-1743.
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